On the Morse inequalities for geodesics on Lorentzian manifolds

DOI10.4310/MRL.2003.v10.n4.a3zbMath1056.53042MaRDI QIDQ1428320

Vieri Benci, Alberto Abbondandolo, Antonio Masiello, Donato Fortunato

Publication date: 25 March 2004

Published in: Mathematical Research Letters (Search for Journal in Brave)

zbMATH Keywords

Morse inequalitiesgeodesicsstrongly indefinite functionalsstationaryLorentzian manifoldsorthogonal splitting

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Geodesics in global differential geometry (53C22) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Algebraic topology on manifolds and differential topology (57R19)

Related Items (5)

A Fermat principle for stationary space-times and applications to light rays ⋮ Some results on lightlike geodesics on stationary lorentzian manifolds ⋮ On the Morse index with constraints: an abstract formulation ⋮ Conjugate points and Maslov index in locally symmetric semi-Riemannian manifolds ⋮ Spectral flow and iteration of closed semi-Riemannian geodesics

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